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Simplifying 30x + -4(y + -1x) + 6(y + x) = 0 Reorder the terms: 30x + -4(-1x + y) + 6(y + x) = 0 30x + (-1x * -4 + y * -4) + 6(y + x) = 0 30x + (4x + -4y) + 6(y + x) = 0 Reorder the terms: 30x + 4x + -4y + 6(x + y) = 0 30x + 4x + -4y + (x * 6 + y * 6) = 0 30x + 4x + -4y + (6x + 6y) = 0 Reorder the terms: 30x + 4x + 6x + -4y + 6y = 0 Combine like terms: 30x + 4x = 34x 34x + 6x + -4y + 6y = 0 Combine like terms: 34x + 6x = 40x 40x + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y 40x + 2y = 0 Solving 40x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 40x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 40x + 0 = 0 + -2y 40x = 0 + -2y Remove the zero: 40x = -2y Divide each side by '40'. x = -0.05y Simplifying x = -0.05y
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